16307453952 has 162 divisors, whose sum is σ = 48855252628. Its totient is φ = 5435817984.

The previous prime is 16307453947. The next prime is 16307453977. The reversal of 16307453952 is 25935470361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁵ ⋅ (2!)¹¹.

16307453952 is a `hidden beast` number, since 1 + 63 + 0 + 7 + 4 + 539 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (162).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 16307453898 and 16307453907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5435817983 + 5435817984 + 5435817985.

Almost surely, 2^16307453952 is an apocalyptic number.

16307453952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16307453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427626314).

16307453952 is an abundant number, since it is smaller than the sum of its proper divisors (32547798676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16307453952 is an frugal number, since it uses more digits than its factorization.

16307453952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 16307453952 in words is "sixteen billion, three hundred seven million, four hundred fifty-three thousand, nine hundred fifty-two".